A New Three-Parameter Discrete Distribution With Associated INAR(1) Process and Applications
The aim of this article is to propose a new three-parameter discrete Lindley distribution. A wide range of its structural properties are investigated. This includes the shape of the probability mass function, hazard rate function, moments, skewness, kurtosis, index of dispersion, mean residual life,...
Gespeichert in:
| Veröffentlicht in: | IEEE access 2020, Vol.8, p.91150-91162 |
|---|---|
| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 91162 |
|---|---|
| container_issue | |
| container_start_page | 91150 |
| container_title | IEEE access |
| container_volume | 8 |
| creator | Eliwa, M. S. Altun, Emrah El-Dawoody, M. El-Morshedy, M. |
| description | The aim of this article is to propose a new three-parameter discrete Lindley distribution. A wide range of its structural properties are investigated. This includes the shape of the probability mass function, hazard rate function, moments, skewness, kurtosis, index of dispersion, mean residual life, mean past life and stress-strength reliability. These properties are expressed in explicit forms. The maximum likelihood approach is used to estimate the model parameters. A detailed simulation study is carried out to examine the bias and mean square error of the estimators. Using the proposed distribution, a new first-order integer-valued autoregressive process is introduced for the over-dispersed, equi-dispersed and under-dispersed time series of counts. To demonstrate the importance of the proposed distribution, three data sets on coronavirus, length of stay at psychiatric ward and monthly counts of larceny calls are analyzed. |
| doi_str_mv | 10.1109/ACCESS.2020.2993593 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_crossref_primary_10_1109_ACCESS_2020_2993593</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><ieee_id>9090986</ieee_id><doaj_id>oai_doaj_org_article_5d1df655aa914bdb8573bdfb0f3355f1</doaj_id><sourcerecordid>2454101022</sourcerecordid><originalsourceid>FETCH-LOGICAL-c408t-339b9ab099b7eb08ea9c788e642bdd1afc1bdb64a90adb5af74b137d1d1ea5623</originalsourceid><addsrcrecordid>eNpNUU1LxDAQLaKgqL_AS8CLHromTdM2x7J-LSwqfuBFCJNkqlnWzZp0Ef-9qRVx5jCPYd57Ay_LjhidMEblWTudXjw8TApa0EkhJReSb2V7BatkzgWvtv_h3ewwxgVN1aSVqPeyl5bc4Cd5fAuI-R0EeMceAzl30YSEBtAHpze98yvy7Po30sbojYMeLZndtPcn7JTcBW8wRgIrS9r1eukMDPfxINvpYBnx8HfuZ0-XF4_T63x-ezWbtvPclLTpc86llqCplLpGTRsEaeqmwaostLUMOsO01VUJkoLVArq61IzXllmGIKqC72ezUdd6WKh1cO8QvpQHp34WPrwqCL0zS1QisbpKCADJyqTaiJpr22nacS5Ex5LW8ai1Dv5jg7FXC78Jq_S-KkpRMspoMTjy8coEH2PA7s-VUTWkosZU1JCK-k0lsY5GlkPEP4akqZuKfwMTG4hh</addsrcrecordid><sourcetype>Open Website</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2454101022</pqid></control><display><type>article</type><title>A New Three-Parameter Discrete Distribution With Associated INAR(1) Process and Applications</title><source>IEEE Open Access Journals</source><source>DOAJ Directory of Open Access Journals</source><source>Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals</source><creator>Eliwa, M. S. ; Altun, Emrah ; El-Dawoody, M. ; El-Morshedy, M.</creator><creatorcontrib>Eliwa, M. S. ; Altun, Emrah ; El-Dawoody, M. ; El-Morshedy, M.</creatorcontrib><description>The aim of this article is to propose a new three-parameter discrete Lindley distribution. A wide range of its structural properties are investigated. This includes the shape of the probability mass function, hazard rate function, moments, skewness, kurtosis, index of dispersion, mean residual life, mean past life and stress-strength reliability. These properties are expressed in explicit forms. The maximum likelihood approach is used to estimate the model parameters. A detailed simulation study is carried out to examine the bias and mean square error of the estimators. Using the proposed distribution, a new first-order integer-valued autoregressive process is introduced for the over-dispersed, equi-dispersed and under-dispersed time series of counts. To demonstrate the importance of the proposed distribution, three data sets on coronavirus, length of stay at psychiatric ward and monthly counts of larceny calls are analyzed.</description><identifier>ISSN: 2169-3536</identifier><identifier>EISSN: 2169-3536</identifier><identifier>DOI: 10.1109/ACCESS.2020.2993593</identifier><identifier>CODEN: IAECCG</identifier><language>eng</language><publisher>Piscataway: IEEE</publisher><subject>Analytical models ; Autoregressive processes ; Data models ; Dispersion ; INAR process ; Kurtosis ; Mathematics ; Numerical models ; over-dispersion ; Parameter estimation ; Shape ; simulation ; Survival discretization method ; Technological innovation</subject><ispartof>IEEE access, 2020, Vol.8, p.91150-91162</ispartof><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2020</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c408t-339b9ab099b7eb08ea9c788e642bdd1afc1bdb64a90adb5af74b137d1d1ea5623</citedby><cites>FETCH-LOGICAL-c408t-339b9ab099b7eb08ea9c788e642bdd1afc1bdb64a90adb5af74b137d1d1ea5623</cites><orcidid>0000-0001-5619-210X ; 0000-0001-5065-2523</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/9090986$$EHTML$$P50$$Gieee$$Hfree_for_read</linktohtml><link.rule.ids>314,776,780,860,2096,4010,27610,27900,27901,27902,54908</link.rule.ids></links><search><creatorcontrib>Eliwa, M. S.</creatorcontrib><creatorcontrib>Altun, Emrah</creatorcontrib><creatorcontrib>El-Dawoody, M.</creatorcontrib><creatorcontrib>El-Morshedy, M.</creatorcontrib><title>A New Three-Parameter Discrete Distribution With Associated INAR(1) Process and Applications</title><title>IEEE access</title><addtitle>Access</addtitle><description>The aim of this article is to propose a new three-parameter discrete Lindley distribution. A wide range of its structural properties are investigated. This includes the shape of the probability mass function, hazard rate function, moments, skewness, kurtosis, index of dispersion, mean residual life, mean past life and stress-strength reliability. These properties are expressed in explicit forms. The maximum likelihood approach is used to estimate the model parameters. A detailed simulation study is carried out to examine the bias and mean square error of the estimators. Using the proposed distribution, a new first-order integer-valued autoregressive process is introduced for the over-dispersed, equi-dispersed and under-dispersed time series of counts. To demonstrate the importance of the proposed distribution, three data sets on coronavirus, length of stay at psychiatric ward and monthly counts of larceny calls are analyzed.</description><subject>Analytical models</subject><subject>Autoregressive processes</subject><subject>Data models</subject><subject>Dispersion</subject><subject>INAR process</subject><subject>Kurtosis</subject><subject>Mathematics</subject><subject>Numerical models</subject><subject>over-dispersion</subject><subject>Parameter estimation</subject><subject>Shape</subject><subject>simulation</subject><subject>Survival discretization method</subject><subject>Technological innovation</subject><issn>2169-3536</issn><issn>2169-3536</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><sourceid>ESBDL</sourceid><sourceid>RIE</sourceid><sourceid>DOA</sourceid><recordid>eNpNUU1LxDAQLaKgqL_AS8CLHromTdM2x7J-LSwqfuBFCJNkqlnWzZp0Ef-9qRVx5jCPYd57Ay_LjhidMEblWTudXjw8TApa0EkhJReSb2V7BatkzgWvtv_h3ewwxgVN1aSVqPeyl5bc4Cd5fAuI-R0EeMceAzl30YSEBtAHpze98yvy7Po30sbojYMeLZndtPcn7JTcBW8wRgIrS9r1eukMDPfxINvpYBnx8HfuZ0-XF4_T63x-ezWbtvPclLTpc86llqCplLpGTRsEaeqmwaostLUMOsO01VUJkoLVArq61IzXllmGIKqC72ezUdd6WKh1cO8QvpQHp34WPrwqCL0zS1QisbpKCADJyqTaiJpr22nacS5Ex5LW8ai1Dv5jg7FXC78Jq_S-KkpRMspoMTjy8coEH2PA7s-VUTWkosZU1JCK-k0lsY5GlkPEP4akqZuKfwMTG4hh</recordid><startdate>2020</startdate><enddate>2020</enddate><creator>Eliwa, M. S.</creator><creator>Altun, Emrah</creator><creator>El-Dawoody, M.</creator><creator>El-Morshedy, M.</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. (IEEE)</general><scope>97E</scope><scope>ESBDL</scope><scope>RIA</scope><scope>RIE</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7SP</scope><scope>7SR</scope><scope>8BQ</scope><scope>8FD</scope><scope>JG9</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>DOA</scope><orcidid>https://orcid.org/0000-0001-5619-210X</orcidid><orcidid>https://orcid.org/0000-0001-5065-2523</orcidid></search><sort><creationdate>2020</creationdate><title>A New Three-Parameter Discrete Distribution With Associated INAR(1) Process and Applications</title><author>Eliwa, M. S. ; Altun, Emrah ; El-Dawoody, M. ; El-Morshedy, M.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c408t-339b9ab099b7eb08ea9c788e642bdd1afc1bdb64a90adb5af74b137d1d1ea5623</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Analytical models</topic><topic>Autoregressive processes</topic><topic>Data models</topic><topic>Dispersion</topic><topic>INAR process</topic><topic>Kurtosis</topic><topic>Mathematics</topic><topic>Numerical models</topic><topic>over-dispersion</topic><topic>Parameter estimation</topic><topic>Shape</topic><topic>simulation</topic><topic>Survival discretization method</topic><topic>Technological innovation</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Eliwa, M. S.</creatorcontrib><creatorcontrib>Altun, Emrah</creatorcontrib><creatorcontrib>El-Dawoody, M.</creatorcontrib><creatorcontrib>El-Morshedy, M.</creatorcontrib><collection>IEEE All-Society Periodicals Package (ASPP) 2005-present</collection><collection>IEEE Open Access Journals</collection><collection>IEEE All-Society Periodicals Package (ASPP) 1998-Present</collection><collection>IEEE Electronic Library (IEL)</collection><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics & Communications Abstracts</collection><collection>Engineered Materials Abstracts</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>Materials Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><collection>DOAJ Directory of Open Access Journals</collection><jtitle>IEEE access</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Eliwa, M. S.</au><au>Altun, Emrah</au><au>El-Dawoody, M.</au><au>El-Morshedy, M.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A New Three-Parameter Discrete Distribution With Associated INAR(1) Process and Applications</atitle><jtitle>IEEE access</jtitle><stitle>Access</stitle><date>2020</date><risdate>2020</risdate><volume>8</volume><spage>91150</spage><epage>91162</epage><pages>91150-91162</pages><issn>2169-3536</issn><eissn>2169-3536</eissn><coden>IAECCG</coden><abstract>The aim of this article is to propose a new three-parameter discrete Lindley distribution. A wide range of its structural properties are investigated. This includes the shape of the probability mass function, hazard rate function, moments, skewness, kurtosis, index of dispersion, mean residual life, mean past life and stress-strength reliability. These properties are expressed in explicit forms. The maximum likelihood approach is used to estimate the model parameters. A detailed simulation study is carried out to examine the bias and mean square error of the estimators. Using the proposed distribution, a new first-order integer-valued autoregressive process is introduced for the over-dispersed, equi-dispersed and under-dispersed time series of counts. To demonstrate the importance of the proposed distribution, three data sets on coronavirus, length of stay at psychiatric ward and monthly counts of larceny calls are analyzed.</abstract><cop>Piscataway</cop><pub>IEEE</pub><doi>10.1109/ACCESS.2020.2993593</doi><tpages>13</tpages><orcidid>https://orcid.org/0000-0001-5619-210X</orcidid><orcidid>https://orcid.org/0000-0001-5065-2523</orcidid><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 2169-3536 |
| ispartof | IEEE access, 2020, Vol.8, p.91150-91162 |
| issn | 2169-3536 2169-3536 |
| language | eng |
| recordid | cdi_crossref_primary_10_1109_ACCESS_2020_2993593 |
| source | IEEE Open Access Journals; DOAJ Directory of Open Access Journals; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
| subjects | Analytical models Autoregressive processes Data models Dispersion INAR process Kurtosis Mathematics Numerical models over-dispersion Parameter estimation Shape simulation Survival discretization method Technological innovation |
| title | A New Three-Parameter Discrete Distribution With Associated INAR(1) Process and Applications |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-11T10%3A24%3A52IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=A%20New%20Three-Parameter%20Discrete%20Distribution%20With%20Associated%20INAR(1)%20Process%20and%20Applications&rft.jtitle=IEEE%20access&rft.au=Eliwa,%20M.%20S.&rft.date=2020&rft.volume=8&rft.spage=91150&rft.epage=91162&rft.pages=91150-91162&rft.issn=2169-3536&rft.eissn=2169-3536&rft.coden=IAECCG&rft_id=info:doi/10.1109/ACCESS.2020.2993593&rft_dat=%3Cproquest_cross%3E2454101022%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2454101022&rft_id=info:pmid/&rft_ieee_id=9090986&rft_doaj_id=oai_doaj_org_article_5d1df655aa914bdb8573bdfb0f3355f1&rfr_iscdi=true |